| Title | Canonical subalgebra bases in non-commutative polynomial rings |
| Authors | Patrik Nordbeck |
| Alternative Location | http://delivery.acm.org/10...., Restricted Access |
| Alternative Location | http://dx.doi.org/10.1145/2... |
| Publication | Proceedings of the 1998 International Symposium on Symbolic and Algebraic Computation |
| Year | 1998 |
| Pages | 140 - 146 |
| Document type | Conference paper |
| Conference name | Proceedings of ISSAC '98. International Symposium on Symbolic and Algebraic Computation |
| Conference Date | 1998-08-13 - 15 |
| Conference Location | Rostock |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | ACM |
| Abstract English | Canonical bases, also called SAGBI bases, for subalgebras of<br> the non-commutative polynomial ring are investigated. The process of<br> subalgebra reduction is defined. Methods, including generalizations of<br> the standard Gröbner bases techniques, are developed for the test whether<br> bases are canonical, and for the completion procedure of constructing canonical<br> bases. The special case of homogeneous subalgebras is discussed. |
| Keywords | polynomials, non-commutative polynomial rings, canonical bases, SAGBI bases, subalgebra reduction, Grobner bases, homogeneous subalgebras, |
| ISBN/ISSN/Other | ISBN: 1-58113-002-3 |
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